Tips on dealing with bulky/irregularly shaped pieces in drill press?

Hey guys:
I'm going to be doing surgery on a slant six exhaust manifold soon. Namely, all 3 bolts that join the two manifolds broke off, so they have to be extracted. That manifold, like most of them, is oddly-shaped and does not lend itself to sitting flat on a work surface.

In the past I have been totally unsuccessful attempting to drill straight into a broken stud by hand, and this time especially I have no margin for error. My first idea is to get them into a drill press, but what I can't cipher out yet is how to properly position and restrain the workpiece so that it's actually drilling straight.

In the spirit of full disclosure, I haven't bought a drill press yet, but that's the plan. Last weekend was a 20-ton press. I don't have the money for a Bridgeport, so it's going to have to be something "lesser".

Thanks for your ideas.